Question

find five rational numbers between 1 and 2 with mid value method

Answer 1

The rational numbers are_

1) (1+2)*1/2

= 3*1/2

= 3/2

= 1+(1/2)

1 whole of 1/2

2) (1+3/2)/2

= (2+3)/2*2

= 5/4

= 1+(1/4)

1 whole of 1/4

3) {(5/4)+(3/2)}/2

= (5+6)/2*4

= 11/8

= 1+(3/8)

1 whole of 3/8

4) (2+3/2)/2

= (4+3)/2*2

= 7/4

= 1+(3/4)

1 whole of 3/4

5) (2+7/4)/2

= (8+7)/2*4

= 15/8

= 1+(7/8)

1 whole of 7/8.

Answer 2

$1 + \frac{2}{2} =\frac{3}{2}\\\\1 + \frac{\frac{3}{2}}{2} = \frac{5}{4}\\\\2 + \frac{3}{2} = \frac{7}{4}\\\\\frac{3}{2} + \frac{\frac{5}{4}}{2} = \frac{11}{4}\\\\\frac{7}{4} + \frac{\frac{11}{4}}{2} = \frac{9}{4}$